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Chapter 2: Q. 25 (page 100)

If f(x)=x2ifx<02ifx=02x+1ifx>0

find,

a)f(-2)b)f(0)c)f(2)

Short Answer

Expert verified

Part (a) the value off(-2)is4.

Part (b) the value off(0)is2.

Part (c) the value off(2)is5.

Step by step solution

01

Step 1. Given information.

The given function is,

f(x)=x2ifx<02ifx=02x+1ifx>0

02

Step 2. Solving Part (a)

We observe herex=-2that is x<0, then the function will be

f(x)=x2

On substituting x=-2we get,

f(-2)=-22=4

Therefore the value,

f(-2)=4.

03

Step 3. Solving Part (b).

We observe here x=0, then the function will be,

f(x)=2

On substituting x=0, we get

f(0)=2

Therefore, the value

f(0)=2.

04

Step 4. Solving Part (c).

We observe here x=2that is x>0, then the function will be

f(x)=2x+1

On substituting x=2, we get

f(2)=2(2)+1=4+1=5

Therefore, the value

f(2)=5.

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